# Fourier Series in Hindi Part 5

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- Categories Engineering Maths 3, Fourier Series, Fourier Series in Hindi, Fourier Series Tutorial
- Date October 28, 2017
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**2. FOURIER COSINE SERIES** A series is said to be FOURIER COSINE SERIES which contain Fourier arbitrary constant ao, an and bn=0 if f(x) should be even function and interval lie between –pi to pi.

**2.1 EVEN FUNCTION**

A function y = f(x) is said to be even, if f(-x) = f(x). The graph of the even function is always symmetrical about the y-axis.

**3.FOURIER SINE SERIES** A series is said to be FOURIER SINE SERIES which contain Fourier arbitrary constant bn and ao=an=0 if f(x) should be odd function and interval lie between –pi to pi.

**ODD FUNCTION OF FOURIER SERIES**

A function y=f(x) is said to be odd, if f(-x) = – f(x). The graph of the odd function is always symmetrical about the origin. For example, the function f(x) = in [-1,1] is even as f(-x) = = f(x) and the function f(x) = x in [-1,1] is odd as f(-x) = -x = -f(x).

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